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Finding the Fourth Proportional to 1,583.52, 2,375.88 and 609.39

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Solution

The fourth proportional to 1,583.52, 2,375.88 and 609.39 is: 914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.52 : 2,375.88 = 609.39 : x
  2. Step 2: Convert to fraction form
    1,583.52/2,375.88 = 609.39/x
  3. Step 3: Cross multiply
    1,583.52x = 2,375.88 × 609.39
  4. Step 4: Simplify right side
    1,583.52x = 1,447,837.51
  5. Step 5: Solve for x
    x = 1,447,837.51/1,583.52
  6. Step 6: Final answer
    x = 914.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.